[{"publication":"Reviews in Mathematical Physics","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2001.00497"}],"citation":{"ama":"Boccato C. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>","chicago":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>.","short":"C. Boccato, Reviews in Mathematical Physics 33 (2021).","ieee":"C. Boccato, “The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific Publishing, 2021.","apa":"Boccato, C. (2021). The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/S0129055X20600065\">https://doi.org/10.1142/S0129055X20600065</a>","ista":"Boccato C. 2021. The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime. Reviews in Mathematical Physics. 33(1), 2060006.","mla":"Boccato, Chiara. “The Excitation Spectrum of the Bose Gas in the Gross-Pitaevskii Regime.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060006, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/S0129055X20600065\">10.1142/S0129055X20600065</a>."},"volume":33,"publisher":"World Scientific Publishing","doi":"10.1142/S0129055X20600065","day":"01","ec_funded":1,"type":"journal_article","date_created":"2020-04-26T22:00:45Z","department":[{"_id":"RoSe"}],"article_number":"2060006","language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"        33","publication_identifier":{"issn":["0129-055X"]},"date_updated":"2025-05-14T10:49:57Z","external_id":{"isi":["000613313200007"],"arxiv":["2001.00497"]},"article_processing_charge":"No","month":"01","_id":"7685","issue":"1","year":"2021","oa_version":"Preprint","title":"The excitation spectrum of the Bose gas in the Gross-Pitaevskii regime","publication_status":"published","article_type":"original","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"author":[{"first_name":"Chiara","full_name":"Boccato, Chiara","id":"342E7E22-F248-11E8-B48F-1D18A9856A87","last_name":"Boccato"}],"isi":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"scopus_import":"1","abstract":[{"lang":"eng","text":"We consider a gas of interacting bosons trapped in a box of side length one in the Gross–Pitaevskii limit. We review the proof of the validity of Bogoliubov’s prediction for the ground state energy and the low-energy excitation spectrum. This note is based on joint work with C. Brennecke, S. Cenatiempo and B. Schlein."}],"date_published":"2021-01-01T00:00:00Z","status":"public","arxiv":1},{"publication_identifier":{"eissn":["1793-6659"],"issn":["0129-055X"]},"quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"        33","external_id":{"isi":["000613313200010"],"arxiv":["1910.08190"]},"date_updated":"2025-05-14T10:49:46Z","department":[{"_id":"RoSe"}],"article_number":"2060009","date_created":"2020-05-28T16:47:55Z","volume":33,"citation":{"ama":"Benedikter NP. Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. 2021;33(1). doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>","chicago":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2021. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>.","short":"N.P. Benedikter, Reviews in Mathematical Physics 33 (2021).","apa":"Benedikter, N. P. (2021). Bosonic collective excitations in Fermi gases. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href=\"https://doi.org/10.1142/s0129055x20600090\">https://doi.org/10.1142/s0129055x20600090</a>","mla":"Benedikter, Niels P. “Bosonic Collective Excitations in Fermi Gases.” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1, 2060009, World Scientific Publishing, 2021, doi:<a href=\"https://doi.org/10.1142/s0129055x20600090\">10.1142/s0129055x20600090</a>.","ista":"Benedikter NP. 2021. Bosonic collective excitations in Fermi gases. Reviews in Mathematical Physics. 33(1), 2060009.","ieee":"N. P. Benedikter, “Bosonic collective excitations in Fermi gases,” <i>Reviews in Mathematical Physics</i>, vol. 33, no. 1. World Scientific Publishing, 2021."},"type":"journal_article","ec_funded":1,"publisher":"World Scientific Publishing","day":"01","doi":"10.1142/s0129055x20600090","publication":"Reviews in Mathematical Physics","main_file_link":[{"url":"https://arxiv.org/abs/1910.08190","open_access":"1"}],"status":"public","scopus_import":"1","date_published":"2021-01-01T00:00:00Z","abstract":[{"text":"Hartree–Fock theory has been justified as a mean-field approximation for fermionic systems. However, it suffers from some defects in predicting physical properties, making necessary a theory of quantum correlations. Recently, bosonization of many-body correlations has been rigorously justified as an upper bound on the correlation energy at high density with weak interactions. We review the bosonic approximation, deriving an effective Hamiltonian. We then show that for systems with Coulomb interaction this effective theory predicts collective excitations (plasmons) in accordance with the random phase approximation of Bohm and Pines, and with experimental observation.","lang":"eng"}],"arxiv":1,"author":[{"first_name":"Niels P","full_name":"Benedikter, Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1071-6091","last_name":"Benedikter"}],"article_type":"original","publication_status":"published","project":[{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"oa":1,"isi":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","_id":"7900","issue":"1","year":"2021","title":"Bosonic collective excitations in Fermi gases","article_processing_charge":"No","month":"01"},{"oa_version":"Published Version","year":"2021","_id":"7901","title":"Correlation energy of a weakly interacting Fermi gas","article_processing_charge":"Yes (via OA deal)","month":"05","status":"public","date_published":"2021-05-03T00:00:00Z","abstract":[{"lang":"eng","text":"We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree–Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy."}],"scopus_import":"1","acknowledgement":"We thank Christian Hainzl for helpful discussions and a referee for very careful reading of the paper and many helpful suggestions. NB and RS were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 694227). Part of the research of NB was conducted on the RZD18 Nice–Milan–Vienna–Moscow. NB thanks Elliott H. Lieb and Peter Otte for explanations about the Luttinger model. PTN has received funding from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy (EXC-2111-390814868). MP acknowledges financial support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, grant agreement No. 802901). BS gratefully acknowledges financial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose-Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS (grant agreement No. 834782). All authors acknowledge support for workshop participation from Mathematisches Forschungsinstitut Oberwolfach (Leibniz Association). NB, PTN, BS, and RS acknowledge support for workshop participation from Fondation des Treilles.","ddc":["510"],"arxiv":1,"author":[{"orcid":"0000-0002-1071-6091","last_name":"Benedikter","first_name":"Niels P","full_name":"Benedikter, Niels P","id":"3DE6C32A-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Nam","first_name":"Phan Thành","full_name":"Nam, Phan Thành"},{"last_name":"Porta","first_name":"Marcello","full_name":"Porta, Marcello"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"project":[{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"article_type":"original","publication_status":"published","oa":1,"file":[{"success":1,"checksum":"f38c79dfd828cdc7f49a34b37b83d376","date_updated":"2022-05-16T12:23:40Z","file_name":"2021_InventMath_Benedikter.pdf","content_type":"application/pdf","access_level":"open_access","date_created":"2022-05-16T12:23:40Z","creator":"dernst","file_id":"11386","file_size":1089319,"relation":"main_file"}],"isi":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","volume":225,"citation":{"chicago":"Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>. Springer, 2021. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>.","ama":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. 2021;225:885-979. doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>","apa":"Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., &#38; Seiringer, R. (2021). Correlation energy of a weakly interacting Fermi gas. <i>Inventiones Mathematicae</i>. Springer. <a href=\"https://doi.org/10.1007/s00222-021-01041-5\">https://doi.org/10.1007/s00222-021-01041-5</a>","mla":"Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” <i>Inventiones Mathematicae</i>, vol. 225, Springer, 2021, pp. 885–979, doi:<a href=\"https://doi.org/10.1007/s00222-021-01041-5\">10.1007/s00222-021-01041-5</a>.","ista":"Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.","ieee":"N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy of a weakly interacting Fermi gas,” <i>Inventiones Mathematicae</i>, vol. 225. Springer, pp. 885–979, 2021.","short":"N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979."},"type":"journal_article","ec_funded":1,"page":"885-979","publisher":"Springer","day":"03","doi":"10.1007/s00222-021-01041-5","publication":"Inventiones Mathematicae","publication_identifier":{"eissn":["1432-1297"],"issn":["0020-9910"]},"intvolume":"       225","quality_controlled":"1","language":[{"iso":"eng"}],"external_id":{"isi":["000646573600001"],"arxiv":["2005.08933"]},"date_updated":"2025-04-14T07:27:00Z","has_accepted_license":"1","department":[{"_id":"RoSe"}],"date_created":"2020-05-28T16:48:20Z","file_date_updated":"2022-05-16T12:23:40Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"}},{"publication":"Communications on Pure and Applied Mathematics","citation":{"chicago":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>. Wiley, 2021. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>.","ama":"Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. 2021;74(3):544-588. doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>","mla":"Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:<a href=\"https://doi.org/10.1002/cpa.21944\">10.1002/cpa.21944</a>.","ista":"Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.","apa":"Frank, R., &#38; Seiringer, R. (2021). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. <i>Communications on Pure and Applied Mathematics</i>. Wiley. <a href=\"https://doi.org/10.1002/cpa.21944\">https://doi.org/10.1002/cpa.21944</a>","ieee":"R. Frank and R. Seiringer, “Quantum corrections to the Pekar asymptotics of a strongly coupled polaron,” <i>Communications on Pure and Applied Mathematics</i>, vol. 74, no. 3. Wiley, pp. 544–588, 2021.","short":"R. Frank, R. Seiringer, Communications on Pure and Applied Mathematics 74 (2021) 544–588."},"volume":74,"page":"544-588","day":"01","doi":"10.1002/cpa.21944","publisher":"Wiley","ec_funded":1,"type":"journal_article","file_date_updated":"2021-03-11T10:03:30Z","date_created":"2020-10-04T22:01:37Z","department":[{"_id":"RoSe"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"intvolume":"        74","quality_controlled":"1","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1097-0312"],"issn":["0010-3640"]},"date_updated":"2025-07-10T11:57:12Z","has_accepted_license":"1","external_id":{"isi":["000572991500001"]},"article_processing_charge":"No","month":"03","year":"2021","_id":"8603","issue":"3","oa_version":"Published Version","title":"Quantum corrections to the Pekar asymptotics of a strongly coupled polaron","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"publication_status":"published","article_type":"original","author":[{"first_name":"Rupert","full_name":"Frank, Rupert","last_name":"Frank"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"file":[{"content_type":"application/pdf","access_level":"open_access","date_created":"2021-03-11T10:03:30Z","creator":"dernst","file_id":"9236","relation":"main_file","file_size":334987,"success":1,"checksum":"5f665ffa6e6dd958aec5c3040cbcfa84","date_updated":"2021-03-11T10:03:30Z","file_name":"2021_CommPureApplMath_Frank.pdf"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","isi":1,"oa":1,"abstract":[{"text":"We consider the Fröhlich polaron model in the strong coupling limit. It is well‐known that to leading order the ground state energy is given by the (classical) Pekar energy. In this work, we establish the subleading correction, describing quantum fluctuation about the classical limit. Our proof applies to a model of a confined polaron, where both the electron and the polarization field are restricted to a set of finite volume, with linear size determined by the natural length scale of the Pekar problem.","lang":"eng"}],"date_published":"2021-03-01T00:00:00Z","scopus_import":"1","status":"public","acknowledgement":"Partial support through National Science Foundation GrantDMS-1363432 (R.L.F.) and the European Research Council (ERC) under the Euro-pean Union’s Horizon 2020 research and innovation programme (grant agreementNo 694227; R.S.), is acknowledged. Open access funding enabled and organizedby Projekt DEAL.","ddc":["510"]},{"citation":{"short":"N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics and Analysis 240 (2021) 383–417.","mla":"Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 240, Springer Nature, 2021, pp. 383–417, doi:<a href=\"https://doi.org/10.1007/s00205-021-01616-9\">10.1007/s00205-021-01616-9</a>.","apa":"Leopold, N. K., Mitrouskas, D. J., &#38; Seiringer, R. (2021). Derivation of the Landau–Pekar equations in a many-body mean-field limit. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-021-01616-9\">https://doi.org/10.1007/s00205-021-01616-9</a>","ista":"Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417.","ieee":"N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar equations in a many-body mean-field limit,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 240. Springer Nature, pp. 383–417, 2021.","ama":"Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. <i>Archive for Rational Mechanics and Analysis</i>. 2021;240:383-417. doi:<a href=\"https://doi.org/10.1007/s00205-021-01616-9\">10.1007/s00205-021-01616-9</a>","chicago":"Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00205-021-01616-9\">https://doi.org/10.1007/s00205-021-01616-9</a>."},"volume":240,"page":"383-417","publisher":"Springer Nature","doi":"10.1007/s00205-021-01616-9","day":"26","ec_funded":1,"type":"journal_article","publication":"Archive for Rational Mechanics and Analysis","intvolume":"       240","language":[{"iso":"eng"}],"quality_controlled":"1","publication_identifier":{"eissn":["1432-0673"],"issn":["0003-9527"]},"date_updated":"2025-06-12T06:35:22Z","has_accepted_license":"1","external_id":{"arxiv":["2001.03993"],"pmid":["33785964"],"isi":["000622226200001"]},"file_date_updated":"2021-03-22T08:31:29Z","date_created":"2021-03-14T23:01:34Z","department":[{"_id":"RoSe"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"year":"2021","_id":"9246","oa_version":"Published Version","title":"Derivation of the Landau–Pekar equations in a many-body mean-field limit","article_processing_charge":"No","pmid":1,"month":"02","abstract":[{"lang":"eng","text":"We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle numbers and a suitably small coupling, we show that the dynamics of the system is approximately described by the Landau–Pekar equations. These describe a Bose–Einstein condensate interacting with a classical polarization field, whose dynamics is effected by the condensate, i.e., the back-reaction of the phonons that are created by the particles during the time evolution is of leading order."}],"scopus_import":"1","date_published":"2021-02-26T00:00:00Z","status":"public","acknowledgement":"Financial support by the European Research Council (ERC) under the\r\nEuropean Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227; N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive discussions about the Fröhlich polaron.","arxiv":1,"ddc":["510"],"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"publication_status":"published","article_type":"original","author":[{"last_name":"Leopold","orcid":"0000-0002-0495-6822","id":"4BC40BEC-F248-11E8-B48F-1D18A9856A87","full_name":"Leopold, Nikolai K","first_name":"Nikolai K"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"file":[{"date_created":"2021-03-22T08:31:29Z","creator":"dernst","access_level":"open_access","content_type":"application/pdf","relation":"main_file","file_size":558006,"file_id":"9270","checksum":"23449e44dc5132501a5c86e70638800f","success":1,"file_name":"2021_ArchRationalMechAnal_Leopold.pdf","date_updated":"2021-03-22T08:31:29Z"}],"isi":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1},{"acknowledgement":"GDG gratefully acknowledges the financial support of HIM Bonn in the framework of the 2019 Junior Trimester Programs “Kinetic Theory” and “Randomness, PDEs and Nonlinear Fluctuations” and the hospitality at the University of Rome La Sapienza during his frequent visits.","arxiv":1,"status":"public","abstract":[{"lang":"eng","text":"We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension."}],"date_published":"2021-04-07T00:00:00Z","scopus_import":"1","oa":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","isi":1,"author":[{"first_name":"Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","full_name":"Brooks, Morris","last_name":"Brooks","orcid":"0000-0002-6249-0928"},{"last_name":"Di Gesù","first_name":"Giacomo","full_name":"Di Gesù, Giacomo"}],"article_type":"original","publication_status":"published","title":"Sharp tunneling estimates for a double-well model in infinite dimension","oa_version":"Preprint","year":"2021","_id":"9348","issue":"3","month":"04","article_processing_charge":"No","external_id":{"isi":["000644702800005"],"arxiv":["1911.03187"]},"date_updated":"2023-08-08T13:15:11Z","publication_identifier":{"eissn":["1096-0783"],"issn":["0022-1236"]},"intvolume":"       281","quality_controlled":"1","language":[{"iso":"eng"}],"article_number":"109029","department":[{"_id":"RoSe"}],"date_created":"2021-04-25T22:01:29Z","type":"journal_article","day":"07","doi":"10.1016/j.jfa.2021.109029","publisher":"Elsevier","volume":281,"citation":{"apa":"Brooks, M., &#38; Di Gesù, G. (2021). Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>","ista":"Brooks M, Di Gesù G. 2021. Sharp tunneling estimates for a double-well model in infinite dimension. Journal of Functional Analysis. 281(3), 109029.","mla":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>, vol. 281, no. 3, 109029, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>.","ieee":"M. Brooks and G. Di Gesù, “Sharp tunneling estimates for a double-well model in infinite dimension,” <i>Journal of Functional Analysis</i>, vol. 281, no. 3. Elsevier, 2021.","short":"M. Brooks, G. Di Gesù, Journal of Functional Analysis 281 (2021).","chicago":"Brooks, Morris, and Giacomo Di Gesù. “Sharp Tunneling Estimates for a Double-Well Model in Infinite Dimension.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">https://doi.org/10.1016/j.jfa.2021.109029</a>.","ama":"Brooks M, Di Gesù G. Sharp tunneling estimates for a double-well model in infinite dimension. <i>Journal of Functional Analysis</i>. 2021;281(3). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109029\">10.1016/j.jfa.2021.109029</a>"},"main_file_link":[{"url":"https://arxiv.org/abs/1911.03187","open_access":"1"}],"publication":"Journal of Functional Analysis"},{"oa":1,"isi":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"file_size":522669,"relation":"main_file","file_id":"10143","date_created":"2021-10-15T11:15:40Z","creator":"cchlebak","access_level":"open_access","content_type":"application/pdf","file_name":"2021_Annales_Kirkpatrick.pdf","date_updated":"2021-10-15T11:15:40Z","checksum":"1a0fb963f2f415ba470881a794f20eb6","success":1}],"author":[{"first_name":"Kay","full_name":"Kirkpatrick, Kay","last_name":"Kirkpatrick"},{"orcid":"0000-0001-5059-4466","last_name":"Rademacher","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425","first_name":"Simone Anna Elvira"},{"first_name":"Benjamin","full_name":"Schlein, Benjamin","last_name":"Schlein"}],"article_type":"original","publication_status":"published","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"arxiv":1,"ddc":["530"],"acknowledgement":"The authors gratefully acknowledge Gérard Ben Arous for suggesting this kind of result. K.L.K. was partially supported by NSF CAREER Award DMS-125479 and a Simons Sabbatical Fellowship. S.R. acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. B. S. gratefully acknowledges partial support from the NCCR SwissMAP, from the Swiss National Science Foundation through the Grant “Dynamical and energetic properties of Bose–Einstein condensates” and from the European Research Council through the ERC-AdG CLaQS. Funding Open access funding provided by Institute of Science and Technology (IST Austria).","status":"public","scopus_import":"1","abstract":[{"text":"We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years. ","lang":"eng"}],"date_published":"2021-04-08T00:00:00Z","month":"04","pmid":1,"article_processing_charge":"Yes (via OA deal)","title":"A large deviation principle in many-body quantum dynamics","oa_version":"Published Version","_id":"9351","year":"2021","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"department":[{"_id":"RoSe"}],"date_created":"2021-04-25T22:01:30Z","file_date_updated":"2021-10-15T11:15:40Z","external_id":{"pmid":["34776771"],"isi":["000638022600001"],"arxiv":["2010.13754"]},"has_accepted_license":"1","date_updated":"2025-06-12T06:39:59Z","publication_identifier":{"issn":["1424-0637"]},"quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"        22","publication":"Annales Henri Poincare","ec_funded":1,"type":"journal_article","doi":"10.1007/s00023-021-01044-1","day":"08","publisher":"Springer Nature","page":"2595-2618","volume":22,"citation":{"chicago":"Kirkpatrick, Kay, Simone Anna Elvira Rademacher, and Benjamin Schlein. “A Large Deviation Principle in Many-Body Quantum Dynamics.” <i>Annales Henri Poincare</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s00023-021-01044-1\">https://doi.org/10.1007/s00023-021-01044-1</a>.","ama":"Kirkpatrick K, Rademacher SAE, Schlein B. A large deviation principle in many-body quantum dynamics. <i>Annales Henri Poincare</i>. 2021;22:2595-2618. doi:<a href=\"https://doi.org/10.1007/s00023-021-01044-1\">10.1007/s00023-021-01044-1</a>","ieee":"K. Kirkpatrick, S. A. E. Rademacher, and B. Schlein, “A large deviation principle in many-body quantum dynamics,” <i>Annales Henri Poincare</i>, vol. 22. Springer Nature, pp. 2595–2618, 2021.","mla":"Kirkpatrick, Kay, et al. “A Large Deviation Principle in Many-Body Quantum Dynamics.” <i>Annales Henri Poincare</i>, vol. 22, Springer Nature, 2021, pp. 2595–618, doi:<a href=\"https://doi.org/10.1007/s00023-021-01044-1\">10.1007/s00023-021-01044-1</a>.","apa":"Kirkpatrick, K., Rademacher, S. A. E., &#38; Schlein, B. (2021). A large deviation principle in many-body quantum dynamics. <i>Annales Henri Poincare</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00023-021-01044-1\">https://doi.org/10.1007/s00023-021-01044-1</a>","ista":"Kirkpatrick K, Rademacher SAE, Schlein B. 2021. A large deviation principle in many-body quantum dynamics. Annales Henri Poincare. 22, 2595–2618.","short":"K. Kirkpatrick, S.A.E. Rademacher, B. Schlein, Annales Henri Poincare 22 (2021) 2595–2618."}},{"article_number":"109096","department":[{"_id":"RoSe"}],"date_created":"2021-06-06T22:01:28Z","publication_identifier":{"issn":["0022-1236"],"eissn":["1096-0783"]},"intvolume":"       281","language":[{"iso":"eng"}],"quality_controlled":"1","external_id":{"arxiv":["2009.00992"],"isi":["000656508600008"]},"date_updated":"2025-04-14T07:26:53Z","publication":"Journal of Functional Analysis","main_file_link":[{"url":"https://arxiv.org/abs/2009.00992","open_access":"1"}],"volume":281,"citation":{"ieee":"A. Deuchert and R. Seiringer, “Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons,” <i>Journal of Functional Analysis</i>, vol. 281, no. 6. Elsevier, 2021.","ista":"Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.","apa":"Deuchert, A., &#38; Seiringer, R. (2021). Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>","mla":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” <i>Journal of Functional Analysis</i>, vol. 281, no. 6, 109096, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>.","short":"A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).","chicago":"Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” <i>Journal of Functional Analysis</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">https://doi.org/10.1016/j.jfa.2021.109096</a>.","ama":"Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. <i>Journal of Functional Analysis</i>. 2021;281(6). doi:<a href=\"https://doi.org/10.1016/j.jfa.2021.109096\">10.1016/j.jfa.2021.109096</a>"},"ec_funded":1,"type":"journal_article","publisher":"Elsevier","day":"15","doi":"10.1016/j.jfa.2021.109096","author":[{"full_name":"Deuchert, Andreas","first_name":"Andreas","last_name":"Deuchert"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert"}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"article_type":"original","publication_status":"published","oa":1,"isi":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","status":"public","scopus_import":"1","date_published":"2021-09-15T00:00:00Z","abstract":[{"text":"We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy functional – a natural extension of the Hartree energy functional to positive temperatures. The Hartree free energy functional converges in the same limit to a semiclassical free energy functional, and we show that the system displays Bose–Einstein condensation if and only if it occurs in the semiclassical free energy functional. This allows us to show that for weak coupling the critical temperature decreases due to the repulsive interactions.","lang":"eng"}],"acknowledgement":"Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 (R.S.) and under the Marie Sklodowska-Curie grant agreement No 836146 (A.D.) is gratefully acknowledged. A.D. acknowledges support of the Swiss National Science Foundation through the Ambizione grant PZ00P2 185851.","arxiv":1,"article_processing_charge":"No","month":"09","oa_version":"Preprint","year":"2021","issue":"6","_id":"9462","title":"Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons"},{"title":"Floating Wigner crystal and periodic jellium configurations","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"year":"2021","_id":"9891","issue":"8","oa_version":"Published Version","month":"08","article_processing_charge":"No","acknowledgement":"The author would like to thank Robert Seiringer for guidance and many helpful comments on this project. The author would also like to thank Mathieu Lewin for his comments on the manuscript and Lorenzo Portinale for providing his lecture notes for the course “Mathematics of quantum many-body systems” in spring 2020, taught by Robert Seiringer. The Proof of Theorem III.1 is inspired by these lecture notes.","arxiv":1,"ddc":["530"],"abstract":[{"lang":"eng","text":"Extending on ideas of Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)], we present a modified “floating crystal” trial state for jellium (also known as the classical homogeneous electron gas) with density equal to a characteristic function. This allows us to show that three definitions of the jellium energy coincide in dimensions d ≥ 2, thus extending the result of Cotar and Petrache [“Equality of the Jellium and uniform electron gas next-order asymptotic terms for Coulomb and Riesz potentials,” arXiv: 1707.07664 (2019)] and Lewin, Lieb, and Seiringer [Phys. Rev. B 100, 035127 (2019)] that the three definitions coincide in dimension d ≥ 3. We show that the jellium energy is also equivalent to a “renormalized energy” studied in a series of papers by Serfaty and others, and thus, by the work of Bétermin and Sandier [Constr. Approximation 47, 39–74 (2018)], we relate the jellium energy to the order n term in the logarithmic energy of n points on the unit 2-sphere. We improve upon known lower bounds for this renormalized energy. Additionally, we derive formulas for the jellium energy of periodic configurations."}],"scopus_import":"1","date_published":"2021-08-01T00:00:00Z","status":"public","file":[{"content_type":"application/pdf","date_created":"2021-10-27T12:57:06Z","creator":"cziletti","access_level":"open_access","file_id":"10188","relation":"main_file","file_size":4352640,"success":1,"checksum":"d035be2b894c4d50d90ac5ce252e27cd","file_name":"2021_JMathPhy_Lauritsen.pdf","date_updated":"2021-10-27T12:57:06Z"}],"isi":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","oa":1,"article_type":"original","publication_status":"published","author":[{"orcid":"0000-0003-4476-2288","last_name":"Lauritsen","id":"e1a2682f-dc8d-11ea-abe3-81da9ac728f1","full_name":"Lauritsen, Asbjørn Bækgaard","first_name":"Asbjørn Bækgaard"}],"day":"01","doi":"10.1063/5.0053494","publisher":"AIP Publishing","type":"journal_article","citation":{"ista":"Lauritsen AB. 2021. Floating Wigner crystal and periodic jellium configurations. Journal of Mathematical Physics. 62(8), 083305.","apa":"Lauritsen, A. B. (2021). Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>","mla":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8, 083305, AIP Publishing, 2021, doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>.","ieee":"A. B. Lauritsen, “Floating Wigner crystal and periodic jellium configurations,” <i>Journal of Mathematical Physics</i>, vol. 62, no. 8. AIP Publishing, 2021.","short":"A.B. Lauritsen, Journal of Mathematical Physics 62 (2021).","chicago":"Lauritsen, Asbjørn Bækgaard. “Floating Wigner Crystal and Periodic Jellium Configurations.” <i>Journal of Mathematical Physics</i>. AIP Publishing, 2021. <a href=\"https://doi.org/10.1063/5.0053494\">https://doi.org/10.1063/5.0053494</a>.","ama":"Lauritsen AB. Floating Wigner crystal and periodic jellium configurations. <i>Journal of Mathematical Physics</i>. 2021;62(8). doi:<a href=\"https://doi.org/10.1063/5.0053494\">10.1063/5.0053494</a>"},"volume":62,"publication":"Journal of Mathematical Physics","date_updated":"2024-10-09T21:00:48Z","has_accepted_license":"1","external_id":{"arxiv":["2103.07975"],"isi":["000683960800003"]},"corr_author":"1","intvolume":"        62","quality_controlled":"1","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0022-2488"],"eissn":["1089-7658"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file_date_updated":"2021-10-27T12:57:06Z","date_created":"2021-08-12T07:08:36Z","article_number":"083305","department":[{"_id":"GradSch"},{"_id":"RoSe"}]},{"publication":"Letters in Mathematical Physics","volume":111,"citation":{"short":"D.J. Mitrouskas, Letters in Mathematical Physics 111 (2021).","ieee":"D. J. Mitrouskas, “A note on the Fröhlich dynamics in the strong coupling limit,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","apa":"Mitrouskas, D. J. (2021). A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>","mla":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” <i>Letters in Mathematical Physics</i>, vol. 111, 45, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>.","ista":"Mitrouskas DJ. 2021. A note on the Fröhlich dynamics in the strong coupling limit. Letters in Mathematical Physics. 111, 45.","ama":"Mitrouskas DJ. A note on the Fröhlich dynamics in the strong coupling limit. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-021-01380-7\">10.1007/s11005-021-01380-7</a>","chicago":"Mitrouskas, David Johannes. “A Note on the Fröhlich Dynamics in the Strong Coupling Limit.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01380-7\">https://doi.org/10.1007/s11005-021-01380-7</a>."},"type":"journal_article","publisher":"Springer Nature","doi":"10.1007/s11005-021-01380-7","day":"05","department":[{"_id":"RoSe"}],"article_number":"45","date_created":"2021-04-18T22:01:41Z","file_date_updated":"2021-04-19T10:40:01Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"language":[{"iso":"eng"}],"quality_controlled":"1","intvolume":"       111","external_id":{"isi":["000637359300002"]},"has_accepted_license":"1","date_updated":"2026-04-02T13:58:00Z","article_processing_charge":"No","month":"04","oa_version":"Published Version","_id":"9333","year":"2021","title":"A note on the Fröhlich dynamics in the strong coupling limit","author":[{"last_name":"Mitrouskas","first_name":"David Johannes","id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes"}],"article_type":"original","publication_status":"published","oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","isi":1,"file":[{"content_type":"application/pdf","access_level":"open_access","date_created":"2021-04-19T10:40:01Z","creator":"dernst","file_id":"9341","file_size":438084,"relation":"main_file","success":1,"checksum":"be56c0845a43c0c5c772ee0b5053f7d7","date_updated":"2021-04-19T10:40:01Z","file_name":"2021_LettersMathPhysics_Mitrouskas.pdf"}],"status":"public","abstract":[{"lang":"eng","text":"We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation."}],"scopus_import":"1","date_published":"2021-04-05T00:00:00Z","ddc":["510"],"acknowledgement":"I thank Marcel Griesemer for many interesting discussions about the Fröhlich polaron and also for valuable comments on this manuscript. Helpful discussions with Nikolai Leopold and Robert Seiringer are also gratefully acknowledged. This work was partially supported by the Deutsche Forschungsgemeinschaft (DFG) through the Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems. Open Access funding enabled and organized by Projekt DEAL."},{"abstract":[{"lang":"eng","text":"We consider a system of N bosons in the mean-field scaling regime for a class of interactions including the repulsive Coulomb potential. We derive an asymptotic expansion of the low-energy eigenstates and the corresponding energies, which provides corrections to Bogoliubov theory to any order in 1/N."}],"scopus_import":"1","date_published":"2021-03-26T00:00:00Z","status":"public","acknowledgement":"The first author gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under Marie Skłodowska-Curie Grant Agreement No. 754411. The third author was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).","ddc":["510"],"project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"}],"publication_status":"published","article_type":"original","author":[{"full_name":"Bossmann, Lea","id":"A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425","first_name":"Lea","orcid":"0000-0002-6854-1343","last_name":"Bossmann"},{"first_name":"Sören P","id":"40AC02DC-F248-11E8-B48F-1D18A9856A87","full_name":"Petrat, Sören P","orcid":"0000-0002-9166-5889","last_name":"Petrat"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert"}],"file":[{"content_type":"application/pdf","access_level":"open_access","creator":"dernst","date_created":"2021-04-12T07:15:58Z","file_id":"9319","file_size":883851,"relation":"main_file","success":1,"checksum":"17a3e6786d1e930cf0c14a880a6d7e92","date_updated":"2021-04-12T07:15:58Z","file_name":"2021_ForumMath_Bossmann.pdf"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","isi":1,"oa":1,"year":"2021","_id":"9318","oa_version":"Published Version","title":"Asymptotic expansion of low-energy excitations for weakly interacting bosons","article_processing_charge":"Yes (via OA deal)","month":"03","intvolume":"         9","quality_controlled":"1","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2050-5094"]},"date_updated":"2026-04-02T14:02:29Z","has_accepted_license":"1","external_id":{"isi":["000634006900001"]},"date_created":"2021-04-11T22:01:15Z","file_date_updated":"2021-04-12T07:15:58Z","article_number":"e28","department":[{"_id":"RoSe"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"ieee":"L. Bossmann, S. P. Petrat, and R. Seiringer, “Asymptotic expansion of low-energy excitations for weakly interacting bosons,” <i>Forum of Mathematics, Sigma</i>, vol. 9. Cambridge University Press, 2021.","ista":"Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.","apa":"Bossmann, L., Petrat, S. P., &#38; Seiringer, R. (2021). Asymptotic expansion of low-energy excitations for weakly interacting bosons. <i>Forum of Mathematics, Sigma</i>. Cambridge University Press. <a href=\"https://doi.org/10.1017/fms.2021.22\">https://doi.org/10.1017/fms.2021.22</a>","mla":"Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” <i>Forum of Mathematics, Sigma</i>, vol. 9, e28, Cambridge University Press, 2021, doi:<a href=\"https://doi.org/10.1017/fms.2021.22\">10.1017/fms.2021.22</a>.","short":"L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).","chicago":"Bossmann, Lea, Sören P Petrat, and Robert Seiringer. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” <i>Forum of Mathematics, Sigma</i>. Cambridge University Press, 2021. <a href=\"https://doi.org/10.1017/fms.2021.22\">https://doi.org/10.1017/fms.2021.22</a>.","ama":"Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. <i>Forum of Mathematics, Sigma</i>. 2021;9. doi:<a href=\"https://doi.org/10.1017/fms.2021.22\">10.1017/fms.2021.22</a>"},"volume":9,"doi":"10.1017/fms.2021.22","publisher":"Cambridge University Press","day":"26","ec_funded":1,"type":"journal_article","publication":"Forum of Mathematics, Sigma"},{"title":"Free energy asymptotics of the quantum Heisenberg spin chain","_id":"9256","issue":"2","year":"2021","oa_version":"Published Version","pmid":1,"month":"03","article_processing_charge":"Yes (via OA deal)","ddc":["510"],"acknowledgement":"The work of MN was supported by the National Science Centre (NCN) Project Nr. 2016/21/D/ST1/02430. The work of RS was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).\r\nOpen access funding provided by Institute of Science and Technology (IST Austria).","abstract":[{"text":"We consider the ferromagnetic quantum Heisenberg model in one dimension, for any spin S≥1/2. We give upper and lower bounds on the free energy, proving that at low temperature it is asymptotically equal to the one of an ideal Bose gas of magnons, as predicted by the spin-wave approximation. The trial state used in the upper bound yields an analogous estimate also in the case of two spatial dimensions, which is believed to be sharp at low temperature.","lang":"eng"}],"date_published":"2021-03-09T00:00:00Z","scopus_import":"1","status":"public","isi":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","file":[{"success":1,"checksum":"687fef1525789c0950de90468dd81604","date_updated":"2021-03-22T11:01:09Z","file_name":"2021_LettersMathPhysics_Napiorkowski.pdf","content_type":"application/pdf","access_level":"open_access","creator":"dernst","date_created":"2021-03-22T11:01:09Z","file_id":"9273","file_size":397962,"relation":"main_file"}],"oa":1,"article_type":"original","publication_status":"published","author":[{"last_name":"Napiórkowski","full_name":"Napiórkowski, Marcin M","id":"4197AD04-F248-11E8-B48F-1D18A9856A87","first_name":"Marcin M"},{"first_name":"Robert","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"doi":"10.1007/s11005-021-01375-4","publisher":"Springer Nature","day":"09","type":"journal_article","citation":{"ieee":"M. M. Napiórkowski and R. Seiringer, “Free energy asymptotics of the quantum Heisenberg spin chain,” <i>Letters in Mathematical Physics</i>, vol. 111, no. 2. Springer Nature, 2021.","ista":"Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.","mla":"Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>, vol. 111, no. 2, 31, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-021-01375-4\">10.1007/s11005-021-01375-4</a>.","apa":"Napiórkowski, M. M., &#38; Seiringer, R. (2021). Free energy asymptotics of the quantum Heisenberg spin chain. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-021-01375-4\">https://doi.org/10.1007/s11005-021-01375-4</a>","short":"M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).","chicago":"Napiórkowski, Marcin M, and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-021-01375-4\">https://doi.org/10.1007/s11005-021-01375-4</a>.","ama":"Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. <i>Letters in Mathematical Physics</i>. 2021;111(2). doi:<a href=\"https://doi.org/10.1007/s11005-021-01375-4\">10.1007/s11005-021-01375-4</a>"},"volume":111,"publication":"Letters in Mathematical Physics","has_accepted_license":"1","date_updated":"2026-04-02T14:06:48Z","external_id":{"isi":["000626837400001"],"pmid":["33785980"]},"quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"       111","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"date_created":"2021-03-21T23:01:19Z","file_date_updated":"2021-03-22T11:01:09Z","department":[{"_id":"RoSe"}],"article_number":"31"},{"oa_version":"Published Version","_id":"9733","year":"2021","title":"The polaron at strong coupling","article_processing_charge":"No","alternative_title":["ISTA Thesis"],"month":"08","status":"public","date_published":"2021-08-20T00:00:00Z","abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"ddc":["515","519","539"],"degree_awarded":"PhD","author":[{"last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario"}],"publication_status":"published","project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","grant_number":"716117","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics"},{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227","call_identifier":"H2020","name":"Analysis of quantum many-body systems"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504","name":"Taming Complexity in Partial Differential Systems"}],"oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","file":[{"checksum":"e88bb8ca43948abe060eb2d2fa719881","date_updated":"2021-09-06T09:28:56Z","file_name":"Thesis_FeliciangeliA.pdf","content_type":"application/pdf","access_level":"open_access","date_created":"2021-08-19T14:03:48Z","creator":"dfelicia","file_id":"9944","file_size":1958710,"relation":"main_file"},{"checksum":"72810843abee83705853505b3f8348aa","date_updated":"2022-03-10T12:13:57Z","file_name":"thesis.7z","access_level":"closed","creator":"dfelicia","date_created":"2021-08-19T14:06:35Z","content_type":"application/octet-stream","relation":"source_file","file_size":3771669,"file_id":"9945"}],"citation":{"short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021.","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","apa":"Feliciangeli, D. (2021). <i>The polaron at strong coupling</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>","mla":"Feliciangeli, Dario. <i>The Polaron at Strong Coupling</i>. Institute of Science and Technology Austria, 2021, doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>.","ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria.","ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>","chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>."},"type":"dissertation","ec_funded":1,"related_material":{"record":[{"id":"9787","relation":"part_of_dissertation","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"9792"},{"status":"public","relation":"part_of_dissertation","id":"9791"},{"status":"public","id":"9781","relation":"part_of_dissertation"},{"relation":"part_of_dissertation","id":"9225","status":"public"}]},"day":"20","doi":"10.15479/at:ista:9733","publisher":"Institute of Science and Technology Austria","page":"180","publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"corr_author":"1","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"},{"last_name":"Maas","orcid":"0000-0002-0845-1338","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","full_name":"Maas, Jan"}],"has_accepted_license":"1","OA_place":"publisher","date_updated":"2026-04-08T06:59:50Z","department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"date_created":"2021-07-27T15:48:30Z","file_date_updated":"2022-03-10T12:13:57Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)"}},{"status":"public","abstract":[{"lang":"eng","text":"The Landau–Pekar equations describe the dynamics of a strongly coupled polaron.\r\nHere, we provide a class of initial data for which the associated effective Hamiltonian\r\nhas a uniform spectral gap for all times. For such initial data, this allows us to extend the\r\nresults on the adiabatic theorem for the Landau–Pekar equations and their derivation\r\nfrom the Fröhlich model obtained in previous works to larger times."}],"date_published":"2021-02-11T00:00:00Z","scopus_import":"1","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC Grant Agreement No 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged. Open Access funding provided by Institute of Science and Technology (IST Austria)","ddc":["510"],"author":[{"id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario","first_name":"Dario","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530"},{"last_name":"Rademacher","orcid":"0000-0001-5059-4466","id":"856966FE-A408-11E9-977E-802DE6697425","full_name":"Rademacher, Simone Anna Elvira","first_name":"Simone Anna Elvira"},{"orcid":"0000-0002-6781-0521","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert"}],"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"name":"IST Austria Open Access Fund","_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854"}],"publication_status":"published","article_type":"original","oa":1,"file":[{"file_id":"9232","file_size":391205,"relation":"main_file","content_type":"application/pdf","creator":"dernst","date_created":"2021-03-09T11:44:34Z","access_level":"open_access","file_name":"2021_LettersMathPhysics_Feliciangeli.pdf","date_updated":"2021-03-09T11:44:34Z","success":1,"checksum":"ffbfe1aad623bce7ff529c207e343b53"}],"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","isi":1,"oa_version":"Published Version","year":"2021","_id":"9225","title":"Persistence of the spectral gap for the Landau–Pekar equations","article_processing_charge":"Yes (via OA deal)","month":"02","publication_identifier":{"eissn":["1573-0530"],"issn":["0377-9017"]},"intvolume":"       111","quality_controlled":"1","language":[{"iso":"eng"}],"external_id":{"isi":["000617195700001"]},"date_updated":"2026-04-08T06:59:49Z","has_accepted_license":"1","article_number":"19","department":[{"_id":"RoSe"}],"file_date_updated":"2021-03-09T11:44:34Z","date_created":"2021-03-07T23:01:25Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"volume":111,"citation":{"ama":"Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. 2021;111. doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>.","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “Persistence of the spectral gap for the Landau–Pekar equations,” <i>Letters in Mathematical Physics</i>, vol. 111. Springer Nature, 2021.","apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2021). Persistence of the spectral gap for the Landau–Pekar equations. <i>Letters in Mathematical Physics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11005-020-01350-5\">https://doi.org/10.1007/s11005-020-01350-5</a>","mla":"Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” <i>Letters in Mathematical Physics</i>, vol. 111, 19, Springer Nature, 2021, doi:<a href=\"https://doi.org/10.1007/s11005-020-01350-5\">10.1007/s11005-020-01350-5</a>.","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19."},"related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"9733"}]},"type":"journal_article","ec_funded":1,"publisher":"Springer Nature","doi":"10.1007/s11005-020-01350-5","day":"11","publication":"Letters in Mathematical Physics"},{"language":[{"iso":"eng"}],"external_id":{"arxiv":["2106.11217"]},"date_updated":"2026-04-08T07:00:03Z","has_accepted_license":"1","article_number":"2106.11217","department":[{"_id":"RoSe"},{"_id":"JaMa"}],"date_created":"2021-08-06T09:07:12Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"ama":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2106.11217\">10.48550/arXiv.2106.11217</a>","chicago":"Feliciangeli, Dario, Augusto Gerolin, and Lorenzo Portinale. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2106.11217\">https://doi.org/10.48550/arXiv.2106.11217</a>.","short":"D. Feliciangeli, A. Gerolin, L. Portinale, ArXiv (n.d.).","ieee":"D. Feliciangeli, A. Gerolin, and L. Portinale, “A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature,” <i>arXiv</i>. .","apa":"Feliciangeli, D., Gerolin, A., &#38; Portinale, L. (n.d.). A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2106.11217\">https://doi.org/10.48550/arXiv.2106.11217</a>","mla":"Feliciangeli, Dario, et al. “A Non-Commutative Entropic Optimal Transport Approach to Quantum Composite Systems at Positive Temperature.” <i>ArXiv</i>, 2106.11217, doi:<a href=\"https://doi.org/10.48550/arXiv.2106.11217\">10.48550/arXiv.2106.11217</a>.","ista":"Feliciangeli D, Gerolin A, Portinale L. A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature. arXiv, 2106.11217."},"related_material":{"record":[{"status":"public","relation":"later_version","id":"12911"},{"relation":"dissertation_contains","id":"9733","status":"public"},{"status":"public","id":"10030","relation":"dissertation_contains"}]},"type":"preprint","ec_funded":1,"day":"21","doi":"10.48550/arXiv.2106.11217","publication":"arXiv","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.11217"}],"status":"public","date_published":"2021-07-21T00:00:00Z","abstract":[{"lang":"eng","text":"This paper establishes new connections between many-body quantum systems, One-body Reduced Density Matrices Functional Theory (1RDMFT) and Optimal Transport (OT), by interpreting the problem of computing the ground-state energy of a finite dimensional composite quantum system at positive temperature as a non-commutative entropy regularized Optimal Transport problem. We develop a new approach to fully characterize the dual-primal solutions in such non-commutative setting. The mathematical formalism is particularly relevant in quantum chemistry: numerical realizations of the many-electron ground state energy can be computed via a non-commutative version of Sinkhorn algorithm. Our approach allows to prove convergence and robustness of this algorithm, which, to our best knowledge, were unknown even in the two marginal case. Our methods are based on careful a priori estimates in the dual problem, which we believe to be of independent interest. Finally, the above results are extended in 1RDMFT setting, where bosonic or fermionic symmetry conditions are enforced on the problem."}],"acknowledgement":"This work started when A.G. was visiting the Erwin Schrödinger Institute and then continued when D.F. and L.P visited the Theoretical Chemistry Department of the Vrije Universiteit Amsterdam. The authors thanks the hospitality of both places and, especially, P. Gori-Giorgi and K. Giesbertz for fruitful discussions and literature suggestions in the early state of the project. Finally, the authors also thanks J. Maas and R. Seiringer for their feedback and useful comments to a first draft of the article.  L.P. acknowledges support by the Austrian Science Fund (FWF), grants No W1245 and NoF65. D.F acknowledges support by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 716117 and No 694227). A.G. acknowledges funding by the European Research Council under H2020/MSCA-IF “OTmeetsDFT” [grant ID: 795942].","ddc":["510"],"arxiv":1,"author":[{"first_name":"Dario","full_name":"Feliciangeli, Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","last_name":"Feliciangeli","orcid":"0000-0003-0754-8530"},{"full_name":"Gerolin, Augusto","first_name":"Augusto","last_name":"Gerolin"},{"first_name":"Lorenzo","full_name":"Portinale, Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","last_name":"Portinale"}],"project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"},{"grant_number":"716117","_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"publication_status":"draft","oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","year":"2021","_id":"9792","title":"A non-commutative entropic optimal transport approach to quantum composite systems at positive temperature","article_processing_charge":"No","month":"07"},{"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_number":"2101.12566","department":[{"_id":"RoSe"}],"date_created":"2021-08-06T08:25:57Z","external_id":{"arxiv":["2101.12566"]},"corr_author":"1","date_updated":"2026-04-08T06:59:49Z","has_accepted_license":"1","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2101.12566","open_access":"1"}],"publication":"arXiv","related_material":{"record":[{"relation":"later_version","id":"10224","status":"public"},{"status":"public","relation":"dissertation_contains","id":"9733"}]},"type":"preprint","ec_funded":1,"doi":"10.48550/arXiv.2101.12566","day":"01","citation":{"chicago":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2101.12566\">https://doi.org/10.48550/arXiv.2101.12566</a>.","ama":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2101.12566\">10.48550/arXiv.2101.12566</a>","ieee":"D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics,” <i>arXiv</i>. .","apa":"Feliciangeli, D., &#38; Seiringer, R. (n.d.). The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2101.12566\">https://doi.org/10.48550/arXiv.2101.12566</a>","mla":"Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” <i>ArXiv</i>, 2101.12566, doi:<a href=\"https://doi.org/10.48550/arXiv.2101.12566\">10.48550/arXiv.2101.12566</a>.","ista":"Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.","short":"D. Feliciangeli, R. Seiringer, ArXiv (n.d.)."},"oa":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","author":[{"orcid":"0000-0003-0754-8530","last_name":"Feliciangeli","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"publication_status":"draft","acknowledgement":"Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No 694227 is gratefully acknowledged. We would also like to thank Rupert Frank for many helpful discussions, especially related to the Gross coordinate transformation defined in Def. 4.1.\r\n","ddc":["510"],"arxiv":1,"status":"public","abstract":[{"text":"We investigate the Fröhlich polaron model on a three-dimensional torus, and give a proof of the second-order quantum corrections to its ground-state energy in the strong-coupling limit. Compared to previous work in the confined case, the translational symmetry (and its breaking in the Pekar approximation) makes the analysis substantially more challenging.","lang":"eng"}],"date_published":"2021-02-01T00:00:00Z","month":"02","article_processing_charge":"No","title":"The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics","oa_version":"Preprint","year":"2021","_id":"9787"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"publication_status":"draft","project":[{"grant_number":"754411","_id":"260C2330-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425"}],"author":[{"last_name":"Feliciangeli","orcid":"0000-0003-0754-8530","first_name":"Dario","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","full_name":"Feliciangeli, Dario"},{"last_name":"Rademacher","orcid":"0000-0001-5059-4466","first_name":"Simone Anna Elvira","full_name":"Rademacher, Simone Anna Elvira","id":"856966FE-A408-11E9-977E-802DE6697425"},{"last_name":"Seiringer","orcid":"0000-0002-6781-0521","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","first_name":"Robert"}],"arxiv":1,"ddc":["510"],"acknowledgement":"We thank Herbert Spohn for helpful comments. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (D.F. and R.S.) and under the Marie Skłodowska-Curie Grant Agreement No. 754411 (S.R.) is gratefully acknowledged..","abstract":[{"lang":"eng","text":"We provide a definition of the effective mass for the classical polaron described by the Landau-Pekar equations. It is based on a novel variational principle, minimizing the energy functional over states with given (initial) velocity. The resulting formula for the polaron's effective mass agrees with the prediction by Landau and Pekar."}],"date_published":"2021-07-08T00:00:00Z","status":"public","month":"07","article_processing_charge":"No","title":"The effective mass problem for the Landau-Pekar equations","_id":"9791","year":"2021","oa_version":"Preprint","date_created":"2021-08-06T08:49:45Z","department":[{"_id":"RoSe"}],"article_number":"2107.03720 ","OA_place":"repository","date_updated":"2026-04-08T06:59:49Z","corr_author":"1","external_id":{"arxiv":["2107.03720"]},"language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2107.03720"}],"publication":"arXiv","doi":"10.48550/arXiv.2107.03720","day":"08","type":"preprint","ec_funded":1,"related_material":{"record":[{"status":"public","relation":"later_version","id":"10755"},{"status":"public","relation":"dissertation_contains","id":"9733"}]},"citation":{"apa":"Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (n.d.). The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>. <a href=\"https://doi.org/10.48550/arXiv.2107.03720\">https://doi.org/10.48550/arXiv.2107.03720</a>","ista":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.","mla":"Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, 2107.03720, doi:<a href=\"https://doi.org/10.48550/arXiv.2107.03720\">10.48550/arXiv.2107.03720</a>.","ieee":"D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass problem for the Landau-Pekar equations,” <i>arXiv</i>. .","short":"D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).","chicago":"Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer. “The Effective Mass Problem for the Landau-Pekar Equations.” <i>ArXiv</i>, n.d. <a href=\"https://doi.org/10.48550/arXiv.2107.03720\">https://doi.org/10.48550/arXiv.2107.03720</a>.","ama":"Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. <i>arXiv</i>. doi:<a href=\"https://doi.org/10.48550/arXiv.2107.03720\">10.48550/arXiv.2107.03720</a>"}},{"oa":1,"user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","isi":1,"author":[{"full_name":"Brooks, Morris","id":"B7ECF9FC-AA38-11E9-AC9A-0930E6697425","first_name":"Morris","last_name":"Brooks","orcid":"0000-0002-6249-0928"},{"orcid":"0000-0002-6990-7802","last_name":"Lemeshko","first_name":"Mikhail","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","full_name":"Lemeshko, Mikhail"},{"full_name":"Lundholm, D.","first_name":"D.","last_name":"Lundholm"},{"full_name":"Yakaboylu, Enderalp","id":"38CB71F6-F248-11E8-B48F-1D18A9856A87","first_name":"Enderalp","last_name":"Yakaboylu","orcid":"0000-0001-5973-0874"}],"project":[{"grant_number":"801770","_id":"2688CF98-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle"}],"publication_status":"published","article_type":"original","acknowledgement":"We are grateful to A. Ghazaryan for valuable discussions and also thank the anonymous referees for comments. D.L. acknowledges financial support from the G¨oran Gustafsson Foundation (grant no. 1804) and LMU Munich. M.L. gratefully acknowledges financial support\r\nby the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreements No 801770).","arxiv":1,"status":"public","scopus_import":"1","date_published":"2021-01-08T00:00:00Z","abstract":[{"text":"Studies on the experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum statistics for particles moving on it. Here, we have undertaken the first step toward realizing the emerging fractional statistics for particles restricted to move on the sphere instead of on the plane. We show that such a model arises naturally in the context of quantum impurity problems. In particular, we demonstrate a setup in which the lowest-energy spectrum of two linear bosonic or fermionic molecules immersed in a quantum many-particle environment can coincide with the anyonic spectrum on the sphere. This paves the way toward the experimental realization of anyons on the sphere using molecular impurities. Furthermore, since a change in the alignment of the molecules corresponds to the exchange of the particles on the sphere, such a realization reveals a novel type of exclusion principle for molecular impurities, which could also be of use as a powerful technique to measure the statistics parameter. Finally, our approach opens up a simple numerical route to investigate the spectra of many anyons on the sphere. Accordingly, we present the spectrum of two anyons on the sphere in the presence of a Dirac monopole field.","lang":"eng"}],"month":"01","pmid":1,"article_processing_charge":"No","title":"Molecular impurities as a realization of anyons on the two-sphere","oa_version":"Preprint","year":"2021","issue":"1","_id":"9005","article_number":"015301","department":[{"_id":"MiLe"},{"_id":"RoSe"}],"date_created":"2021-01-17T23:01:10Z","external_id":{"arxiv":["2009.05948"],"pmid":["33480760"],"isi":["000606325000003"]},"date_updated":"2026-04-16T08:20:53Z","publication_identifier":{"eissn":["1079-7114"],"issn":["0031-9007"]},"intvolume":"       126","quality_controlled":"1","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://arxiv.org/abs/2009.05948","open_access":"1"}],"publication":"Physical Review Letters","related_material":{"link":[{"relation":"press_release","description":"News on IST Homepage","url":"https://ist.ac.at/en/news/dancing-molecules-and-two-dimensional-particles/"}],"record":[{"id":"12390","relation":"dissertation_contains","status":"public"}]},"type":"journal_article","ec_funded":1,"doi":"10.1103/PhysRevLett.126.015301","publisher":"American Physical Society","day":"08","volume":126,"citation":{"short":"M. Brooks, M. Lemeshko, D. Lundholm, E. Yakaboylu, Physical Review Letters 126 (2021).","ieee":"M. Brooks, M. Lemeshko, D. Lundholm, and E. Yakaboylu, “Molecular impurities as a realization of anyons on the two-sphere,” <i>Physical Review Letters</i>, vol. 126, no. 1. American Physical Society, 2021.","ista":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. 2021. Molecular impurities as a realization of anyons on the two-sphere. Physical Review Letters. 126(1), 015301.","mla":"Brooks, Morris, et al. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>, vol. 126, no. 1, 015301, American Physical Society, 2021, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>.","apa":"Brooks, M., Lemeshko, M., Lundholm, D., &#38; Yakaboylu, E. (2021). Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>","ama":"Brooks M, Lemeshko M, Lundholm D, Yakaboylu E. Molecular impurities as a realization of anyons on the two-sphere. <i>Physical Review Letters</i>. 2021;126(1). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">10.1103/PhysRevLett.126.015301</a>","chicago":"Brooks, Morris, Mikhail Lemeshko, D. Lundholm, and Enderalp Yakaboylu. “Molecular Impurities as a Realization of Anyons on the Two-Sphere.” <i>Physical Review Letters</i>. American Physical Society, 2021. <a href=\"https://doi.org/10.1103/PhysRevLett.126.015301\">https://doi.org/10.1103/PhysRevLett.126.015301</a>."}},{"article_processing_charge":"No","month":"01","issue":"1","_id":"14891","year":"2020","oa_version":"Preprint","title":" The local density approximation in density functional theory","article_type":"original","publication_status":"published","author":[{"last_name":"Lewin","full_name":"Lewin, Mathieu","first_name":"Mathieu"},{"first_name":"Elliott H.","full_name":"Lieb, Elliott H.","last_name":"Lieb"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521","last_name":"Seiringer"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa":1,"abstract":[{"text":"We give the first mathematically rigorous justification of the local density approximation in density functional theory. We provide a quantitative estimate on the difference between the grand-canonical Levy–Lieb energy of a given density (the lowest possible energy of all quantum states having this density) and the integral over the uniform electron gas energy of this density. The error involves gradient terms and justifies the use of the local density approximation in the situation where the density is very flat on sufficiently large regions in space.","lang":"eng"}],"scopus_import":"1","date_published":"2020-01-01T00:00:00Z","status":"public","arxiv":1,"publication":"Pure and Applied Analysis","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1903.04046","open_access":"1"}],"citation":{"ieee":"M. Lewin, E. H. Lieb, and R. Seiringer, “ The local density approximation in density functional theory,” <i>Pure and Applied Analysis</i>, vol. 2, no. 1. Mathematical Sciences Publishers, pp. 35–73, 2020.","mla":"Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” <i>Pure and Applied Analysis</i>, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:<a href=\"https://doi.org/10.2140/paa.2020.2.35\">10.2140/paa.2020.2.35</a>.","apa":"Lewin, M., Lieb, E. H., &#38; Seiringer, R. (2020).  The local density approximation in density functional theory. <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers. <a href=\"https://doi.org/10.2140/paa.2020.2.35\">https://doi.org/10.2140/paa.2020.2.35</a>","ista":"Lewin M, Lieb EH, Seiringer R. 2020.  The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.","short":"M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.","chicago":"Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “ The Local Density Approximation in Density Functional Theory.” <i>Pure and Applied Analysis</i>. Mathematical Sciences Publishers, 2020. <a href=\"https://doi.org/10.2140/paa.2020.2.35\">https://doi.org/10.2140/paa.2020.2.35</a>.","ama":"Lewin M, Lieb EH, Seiringer R.  The local density approximation in density functional theory. <i>Pure and Applied Analysis</i>. 2020;2(1):35-73. doi:<a href=\"https://doi.org/10.2140/paa.2020.2.35\">10.2140/paa.2020.2.35</a>"},"volume":2,"doi":"10.2140/paa.2020.2.35","day":"01","publisher":"Mathematical Sciences Publishers","page":"35-73","type":"journal_article","date_created":"2024-01-28T23:01:44Z","department":[{"_id":"RoSe"}],"quality_controlled":"1","language":[{"iso":"eng"}],"intvolume":"         2","publication_identifier":{"eissn":["2578-5885"],"issn":["2578-5893"]},"date_updated":"2024-10-09T21:08:02Z","corr_author":"1","external_id":{"arxiv":["1903.04046"]}},{"publication_status":"published","article_type":"original","date_created":"2024-03-04T11:46:12Z","author":[{"last_name":"Hainzl","first_name":"Christian","full_name":"Hainzl, Christian"},{"last_name":"Schlein","full_name":"Schlein, Benjamin","first_name":"Benjamin"},{"full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"},{"first_name":"Simone","full_name":"Warzel, Simone","last_name":"Warzel"}],"department":[{"_id":"RoSe"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","intvolume":"        16","date_published":"2020-09-10T00:00:00Z","abstract":[{"text":"The interaction among fundamental particles in nature leads to many interesting effects in quantum statistical mechanics; examples include superconductivity for charged systems and superfluidity in cold gases. It is a huge challenge for mathematical physics to understand the collective behavior of systems containing a large number of particles, emerging from known microscopic interactions. In this workshop we brought together researchers working on different aspects of many-body quantum mechanics to discuss recent developments, exchange ideas and propose new challenges and research directions.","lang":"eng"}],"language":[{"iso":"eng"}],"quality_controlled":"1","publication_identifier":{"issn":["1660-8933"]},"status":"public","date_updated":"2024-03-12T12:02:00Z","publication":"Oberwolfach Reports","article_processing_charge":"No","month":"09","year":"2020","issue":"3","_id":"15072","citation":{"apa":"Hainzl, C., Schlein, B., Seiringer, R., &#38; Warzel, S. (2020). Many-body quantum systems. <i>Oberwolfach Reports</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/owr/2019/41\">https://doi.org/10.4171/owr/2019/41</a>","ista":"Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems. Oberwolfach Reports. 16(3), 2541–2603.","mla":"Hainzl, Christian, et al. “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:<a href=\"https://doi.org/10.4171/owr/2019/41\">10.4171/owr/2019/41</a>.","ieee":"C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,” <i>Oberwolfach Reports</i>, vol. 16, no. 3. European Mathematical Society, pp. 2541–2603, 2020.","short":"C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.","chicago":"Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel. “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>. European Mathematical Society, 2020. <a href=\"https://doi.org/10.4171/owr/2019/41\">https://doi.org/10.4171/owr/2019/41</a>.","ama":"Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. <i>Oberwolfach Reports</i>. 2020;16(3):2541-2603. doi:<a href=\"https://doi.org/10.4171/owr/2019/41\">10.4171/owr/2019/41</a>"},"volume":16,"oa_version":"None","page":"2541-2603","publisher":"European Mathematical Society","doi":"10.4171/owr/2019/41","day":"10","title":"Many-body quantum systems","type":"journal_article"}]